Nature

Discontinuous Galerkin Methods in Computational Fluid Dynamics

Discontinuous Galerkin (DG) methods have emerged as a formidable tool in computational fluid dynamics (CFD), offering a flexible and high-order accurate framework for solving complex flow problems. By ...
JSTOR Daily

A TREFFTZ POLYNOMIAL SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR THE SECOND ORDER WAVE EQUATION

SIAM Journal on Numerical Analysis, Vol. 55, No. 1 (2017), pp. 63-86 (24 pages) A new space-time discontinuous Galerkin (dG) method utilizing special Trefftz polynomial basis functions is proposed and ...
Nature

Discontinuous Galerkin Methods for Partial Differential Equations

Discontinuous Galerkin (DG) methods represent a versatile and robust class of numerical schemes for approximating solutions to partial differential equations (PDEs). Combining elements of finite ...
JSTOR Daily

THE VARIABLE-ORDER DISCONTINUOUS GALERKIN TIME STEPPING SCHEME FOR PARABOLIC EVOLUTION PROBLEMS IS UNIFORMLY L ∞-STABLE

In this paper we investigate the L∞-stability of fully discrete approximations of abstract linear parabolic partial differential equations (PDEs). The method under consideration is based on an hp-type ...